Scientific Notation with Positive Powers 2.2

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Definitions: Scientific Notation Scientific notation is a method of expressing very large and very small numbers as a product of a number greater than or equal to 1and less than 10 and a power of 10.

Scientific Notation Expression Scientific notation is expressed in the following form a x 10n Where a is between 1 and less than 10 And n is an integer

Example 1: Write 4,776 in scientific notation Step 1: Place the decimal immediately to the right of the left most nonzero number. This should give you a number between 1 and 10 4.776 Step 2: Count the number of digits between the old and new decimal point. This gives the power of, n of 10 (10n) 4.776 x 103 Step 3: Since the decimal is shifted to the left, the exponent is positive Final answer= 4.776 x 103

Practice 84,000 = 8.4 x 104 10,250,000 = 1.025 x 107 1,500 =1.5 x 103

Practice: pg 40 # 3-5 #3. 6.4 x 103 #4. 5.7 x 1011 #5. 9.461 x 1012 km

Writing a number in standard notation Example: Write 4.953 x 104 in standard form Step 1: Write the decimal number 4.953 Step 2: move the decimal the number of places specified by the powers of ten: to the right since it is positive 49,530 (move the decimal 4 places to the right) Step 3: Rewrite the number in integer/standard form 49,530

Practice 2 x 104 = 20,000 6.31 x 105 =631,000 8.0425 x 108 = 804,250,000

Practice: Page 41 # 6-10 # 8. 7,034,000,000 #9. 236,000 #10. 5,000,000g

Worksheet Multiple practice worksheet